{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "2d92f68c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7f239fb8bfa0>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "pc_count=np.load('pc_count.npy')\n",
    "pc_count1=np.load('pc_count1.npy')\n",
    "\n",
    "plt.plot(pc_count)\n",
    "plt.plot(pc_count1)\n",
    "\n",
    "plt.xlabel('time')\n",
    "plt.ylabel('pc_count')\n",
    "plt.legend(['active','naive'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "d0191743",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7f239fde9550>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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I3DUqgLV/5HO4oBVT708VFAvBCWA6Blm/QefhjjmvcKyKk5CzS7195VOwfC78+hoMvgv8HZAYCyFEK0hCpKHjh3bR5b+j6HLKfZn6DhzvMBa/+N70MhzHNycVksfjO2DCWc/T1iRFqCseZZ4ob+TIZkgYBHuPqY3VkhC5pyMbAQUiusNFD8CuL9QEaeNbcMVcraMTQng4SYg0lNAtmQJCyTMmUhLcA59eV5J82c10NLTvtXSigtS+oYLSKsedtMNg2PuN9BG5s4zaFW+TLlG3bLn0r/DZRNj8b0iZKVUiIYSmJCHSkJe3kYi56UR62K7tkbWN1CfKqh13Ulsf0fHtjjuncCxb/1DSJep1r3EQ20+tEv34KFz3lrrYphBCaMCzfhO7IZ2HJUMAkYFGAApKHFghilU3BqQkC8oKzn2scL1T+4dsCZFOB1c8od7e/V9473I4cUib+IQQHs/zfhsLzdmm2pdUmamsaXwjwCbxCYLw2m6snJ2OOadwnIKDgALBHdQmeJvuV8JtX0JANOTthU8nQLWDmu2FEC63YMECQkNDtQ6jRSQhEi4X7OuF0aD+13NoH5GtSmSrRAj3UZqrXgc2sERotyvg3nUQGAsF+2HpX888RgjRJtxyyy388ccfWofRIpIQCZfT6XT2YbMTpQ7sI4pNVq+zpULkdsry1OuGEiJQq0Y3vgvoYPt/YN/3zX4JRVFYsiWTH3dlI1s0CqENPz8/oqOjtQ6jRSQhEpqwDZs5tkJUmxBJhcj9lOar14Hn2Eevy6Vw8QPq7dXzoJlJzYs/7+evX+7ivkXbmbn4N4oraloYrBCea8SIETzwwAP85S9/ITw8nNjYWJ588kn746+88gr9+vUjICCAxMRE7rvvPkpLS+2Pnzpk9scff6DT6fj999/rvcarr75K165d7V/v3r2bsWPHEhgYSExMDLfffjsFBa7vBZWESGjC3ljtyIQorjYhOnEAqh24xpFoPVuFKKCRvxwvmQXeAZC7Gw6tbPLpP/g1nf9brTZkG/Q6ftiVzcT3N2G2WFsasRCOpShqf5yrLy2oli5cuJCAgAA2b97MCy+8wFNPPcXy5csB0Ov1vPHGG+zZs4eFCxeycuVK/vKXvzR4nh49ejB48GAWLVpU7/5FixZx6623AlBUVMTll1/OwIED2bZtG0uXLiU3N5ebb7652XG3lky7F5qItFeIHDhkFhgDAVFQlq826Nqm4gvtldqGzBpJiPzC4PxJsPlt2PCG2l/U2KmrzDz30z4AHh3dk4u6RjDlo63sPm5i4cYj3HVJ59ZGL0Tr1ZTDs/Guf92/ZYExoFlPSU5O5okn1Bmg3bt356233mLFihVceeWVPPTQQ/bjkpKSeOaZZ7j33nv5v//7vwbPNXHiRN566y2efvppQK0apaam8sknnwDw1ltvMXDgQJ599ln7cz788EMSExP5448/6NHDdRtAS4VIaCLSGYsz6nSnDJtJH5FbKasdMgs4x5CZzdDpoDPA4dWQuanRwzMKyqixKEQEGLlvRFcGdgzjr2N7AfDKsv3kFFe2InAhPE9ycnK9r+Pi4sjLU/+o+eWXX7jiiivo0KEDQUFB3H777Zw4cYLy8oar8uPHjycjI4NNm9Tv5UWLFnH++efTq5f6Pbpjxw5WrVpFYGCg/WJ77NAh1y7DIRUioYmIANuQmQMrRKDONDu0Qhqr3U1TK0QAYZ2g702w63P4+Ea48d9w3jVnPTyzUP1B3DHCH13tXn+3DE7k821H+S2ziBmLt/PqzQPoGOHf6rchRIt5+6vVGi1et7lP8fau97VOp8NqtZKRkcHVV1/N9OnT+de//kV4eDi//vord911F9XV1fj7n/lasbGxXH755SxevJihQ4eyePFipk+fbn+8tLSUa665hueff/6M58bFxTU79tbQtEK0du1arrnmGuLj49HpdHz99df1HtfpdA1eXnzxRfsxSUlJZzz+3HPP1TvPzp07GTZsGL6+viQmJvLCCy+44u2Jc7Bv3+HIxRlBpt67K3uFqImzT656AbqMgJoy+Ow2+N/dcPJIg4ceqd0Tr2N43Q9jvV7Hv67vh5+3gdQjJxn12ho+3ZLZmncgROvodOrQlasvDtwQPDU1FavVyssvv8zQoUPp0aMHWVmNJ3kTJ07ks88+Y+PGjRw+fJjx48fbHzv//PPZs2cPSUlJdOvWrd4lIKB5Q32tpWlCVFZWRv/+/Zk/f36Dj2dnZ9e7fPjhh+h0Om666aZ6xz311FP1jrv//vvtj5lMJkaNGkWnTp1ITU3lxRdf5Mknn+Tdd9916nsT51a3fYeDE6Lo3up1wR8taiYUTlBTCVUm9fa5Zpmdyi8MJv4Pht6nfr3rC5h/IRzdesahtgpRp/D6f532jg/mxweHkdIlgsoaK3O+3MWry/+QKflCtFC3bt2oqanhzTff5PDhw3z88ce88847jT7vxhtvpKSkhOnTp3PZZZcRH1/XSzVjxgwKCwuZMGECW7du5dChQ/z888/ccccdWCwOWri3iTRNiMaOHcszzzzDDTfc0ODjsbGx9S7ffPMNl112GV26dKl3XFBQUL3jTs0qFy1aRHV1NR9++CF9+vRh/PjxPPDAA7zyyitOfW/i3CICnTRkFtFV7T+pMkFJtmPPLVrGNsPMYATf0KY/z+AFY+bBtDWQOATMlfDNDDDXT6IzC9WVrTtGnPnXZOfIABZPHcIDV3QH4PUVB3h9xYEWvQ0hPF3//v155ZVXeP755+nbty+LFi1i3rx5jT4vKCiIa665hh07djBx4sR6j8XHx7N+/XosFgujRo2iX79+PPTQQ4SGhqJ38dZWOsVN/lzS6XR89dVXXH/99Q0+npubS0JCAgsXLrRP1wN1yKyyspKamho6duzIrbfeyqxZs/DyUtujJk2ahMlkqjcct2rVKi6//HIKCwsJCws747Wqqqqoqqr7oWsymUhMTKS4uJjg4GDHvGEPV1BaxeBnfkGngwPPjMXL4MD/+G8OVqfe3/4VdL3ccecVLXMsFd6/XN22Y/belp2jvBDmD1GTq0sfg8v+Zn/okudXcuxkBV/cm8IFSeFnPcWC9ek8+d1eDHod3868mD7xIS2LRYhGVFZWkp6eTufOnfH19dU6nHbvXJ+3yWQiJCSkSb+/28wss4ULFxIUFMSNN95Y7/4HHniAJUuWsGrVKu655x6effbZemsi5OTkEBNTf3Vc29c5OTkNvta8efMICQmxXxITEx38bkSYvxG9Th3VKix3cJUoqqd6nb/fsecVLWNfg6iJw2UN8Q9X+4oA1r0M3z0I+X9QY7GSVVQB1O8hasiUiztzVb9YLFaFx/63U9YoEkLU02YSog8//JCJEyeekf3Nnj2bESNGkJyczL333svLL7/Mm2++Wa/C01xz5syhuLjYfjl69GhrwxenMeh1hAfYGqsdnRCpUzbJ//3cxwnXaM4Ms3PpfT30vxWsZkhdAPMvwPLuSG7RryDE20x0baP+uTx5bR9C/LzZfdxE8j+XccXLq3l/3WGqzK7tVRBCuJ82kRCtW7eO/fv3c/fddzd67JAhQzCbzWRkZABqH1Jubm69Y2xfx8bGnv50AHx8fAgODq53EY7nlNWq4ZSESCpEbqGpq1Q3RqeD6/8P7vgJel4FOj2+uanM8/6ANV4z0W19v9FTRAf5Mu9GdfZZebWFQ/llPPPDPi5/aQ3P/riPDQcLsFrdootACOFibWIdog8++IBBgwbRv3//Ro9NS0tDr9fbN5dLSUnh73//OzU1Nfa1FZYvX07Pnj0b7B8SrqPONCtxQkJkGzL7XR2Tc+C0U9ECTdnHrKl0Ouh0kXopyWHb9+8Ss+8/JOrz4cdHILKHuifaOVzVL44RPaPIM1Wx8fAJXvvlD44XVfDu2sO8u/YwXaMCmDa8Czeen4C3I3vbhBBuTdPv9tLSUtLS0khLSwMgPT2dtLQ0MjPr1gsxmUx88cUXDVaHNm7cyGuvvcaOHTs4fPgwixYtYtasWdx22232ZOfWW2/FaDRy1113sWfPHj777DNef/11Zs+e7ZL3KM7OKTveA0R2B3RQcRLKXL9BoDiNoypEpwuK5efgPzGi+hVSI69T7/vhYTA3/v/J3+hFUmQAEy7syOpHLuP18QP406AEgny8OJRfxmP/28XoV9eybE/DfYZCNIWbzFlq9xz1OWuaEG3bto2BAwcycOBAQO0HGjhwIHPnzrUfs2TJEhRFYcKECWc838fHhyVLlnDppZfSp08f/vWvfzFr1qx6awyFhISwbNky0tPTGTRoEA8//DBz585l2rRpzn+D4pycsuM9gLcfhCWpt6WPSHv2CpGDEyLUNYgsGNjf7xE14TpxAH7+G2SlQUVRk9ai8jMauG5AB176c382zLmcv191HhEBRg4XlDHt41ReXrZffrGJZrGNRpxtOwvhWNXV6h9BBoOhVefRdMhsxIgRjf6gmTZt2lmTl/PPP9++P8q5JCcns27duhbFKJzHtjhjvqMTIlD7iE6mqwlR52GOP79oOkfMMjsL2yrVcTGxMPpf8OVU2PqeegHw8oXOw+Gi+yGuP6ADn6CzDqMG+XozdXgXxl+YyBsrDvDeunTeXHmQ/TklDOgYSlSgD5FBPkQF+hAV5ENkoA8GvQzJivoMBgOhoaH2/b/8/eu2lRGOZbVayc/Px9/f377cTku1iR4i0T45bcgM1D6iP36Sxmp34KhZZqdRFIWjp+xjRuSf1fWKfv8ecvdARaG6mOOBZerFxj9C3eKl35/Vi9eZs9OCfL35+7jeJEUG8PjXu1m2N5dle3PPOM7P20CP2CDOiw3ivLhgQvy80emgV2wwPWIC5ZegB7NN2rElRcJ59Ho9HTt2bPX3myREQjORzhoyg7qZZnn7HH9u0XTmaqgsUm87uIcou7iSsmoLXnodiWH+atVn6L3qBaCmAgrTYdsHkLYYamqHL8pPwOHV6uXnvwE69djEC6HbFdDnRnWDWWDikE50jw5ixb5c8kurKCitpqCkivzSKgrLqqmosbDjaBE7jhadEV90kA9JkQFEB/nQLTqQhDB/jpwoI6e4ks5RAfSIDiI62IdQPyM6HQT7ehPi733GeUTbpNPpiIuLIzo6mpqaGq3DadeMRqNDVrWWhEhoxqkJUUwf9Tpvj8w005JtU1edQd2fzIH+yC0B1O05jF4N/DD09oOY3jDuZRj7AlgtYKlW97lLXwOb34WSUzamzFinXn55Uh1mu24+hHbkws7hXNj5zBWwLVaFjBNl7Ms28Xt2CftzS6issVBVY2Xn8SLySqrIa+bmxX07BNM5MpATpVVU1KhrI0UE+HBeXBAdw/3tw3URgUbKqy2cLKsmwMeLyEAfwgPUxU7zS6o4XlRBUkQAYQFGaixWLFYFX+/W9VeIljEYDK3ubRGuIQmR0ExkUN2QmdWqoHdkL0ZUT/WXcMVJMGVBSAfHnVs0XUntLK2gWHDwvkQH80oB6B4T2PjBeoN68TJCh/PVy9AZkLMTjIFqwpy+FvZ9p16nr4UPRsPtX0L0eQ2e0qDX0TUqkK5RgVydXP+xyhoLu44Xk1NcSU5xJftzSzh2spykiADiQvw4lF/KofxSCkqrMFWYAaiosbD7uIndx01nvNYv+84crjvjLerU2XOlVWb7fUE+XpRWm9HrdFzaI4rBSWEczCvFVFFDZKAPgT7qr4CyajP5JdX2BSqTIgK4pHskw7pH4m+UXxPCM8j/dKGZiNqVqs1WBVNlDaH+Rsed3MtHXZMmf5/aTyIJkTZsG+wGxTn81LYKUffooJadwMsICYPrvo7qCRdOVYfZPh2vNuS/fRH4R6r/f2L6QEgioFOrT4Ex6tpKAdHq16BuXusXhq+34Zz7qjUkr6SS9QcLKCipJjLIaE9Esosq+D2nhONFFeqQXe1wnb+3gbAAI6VVZk6WV2NVoLTKjF6nVl/zSqooqU2OLIrCyt/zWPl70/pZ1h0o4ONNRwjx8+b2oZ2YOrwLIX4ynCfaN0mIhGaMXnqCfb0wVZopKK1ybEIE6i+w/H2Quxt6jHLsuUXT2BOihleFb40DzakQNUd4Z3U17M9uhyO/qrPkyvIg67emPV9nAMOpyYNObeQOilF728I6q31VxUchZ7c6rBgQSXRwB26I6aMem51f1/PkHwnd+9YtbBnUESW8CzpD3Y9vs8VKYVk1psoaEsL88fU2UFJZQ66pklB/I0Xl1Xz9WxYZJ8roFh1IZKAPhWXVlFWrCZO/t1dtEmbAYoVdx4r4ZV8ex4sqeGvVQTann+Dze1KkSVy0a5IQCU1FBvlgqlTL9d0cvUxNTB/Y/V+1QiS04aQKkaIoHMxVE6IeMS2sEJ2LfzhM+R5Kc9VZcoWH1cS6/ITak1Zdpj5Wlq9eW2pAsUJ1KSgWOH1vNNMx9XI8teHXqzKpr5HRtOVBdF5+atUqIBoCo/DyDSH6xGGii45AaCeI6EJQpYkgcxV0HEJk/EAeSSiC2CoIiFArWejA21c9h3+4OqQIYLXwp/M7MPeaPizbk8Psz3ewNeMk3+7I4roBUmkV7ZckREJTkYE+HM4v40SZMxqr+6rXkhBp59QeIgfKLq6kpMqMl15HUkSAQ89tp9OpcQfFQlwy9Lm+8edYatTV0a11fTxYzepyAKZjkLtXrQz5halJYkxvCE5QE63Cw+r/1SqTukSBsfZ9FR+vvb9ETbqKjqjVoxMH1cvpio+qlS2bP35qwnvVq5UoxaLG4huCIaYvY/3C6BFdysG8Uny+MWBO74ZXQARUFqtVLr8w8AlWlzioKFLP5R8Bl8xSK21CtCGSEAlN2Td4beZsnCaxzTQr+APMVQ2uNyOczEkVIttwWdLZZphpxeANwQ281/DOwCDofd3Zn9sppWmvYbXAyQz1sy3NVVcCrziprs4elqQ+djJDTVYUq9ogfuKAmvB4+agJW5Xaf0VNWW3Vy1q3gCaoCc+R9QB0BboaAAXYsblpMe78HC7/B6TMkBmeos2QhEhoqm7qvRMWZwyOV4cGKovUBRrjkht7hnA0W4WooSShFQ7YG6od3D/UFugNENFVvTTk9MQq5b5zn89W1SrLU/ufAqLU27l71YQJSDtaxH+3ZZLoW8nUwWHo/ULBN0T93qo0gX9Y7bIKOtjzlTr0t+zvUJQJY5+XpEi0CZIQCU05dS0inU4dNjvyqzrkIAmR65lq1/lxdIUo19ZQ7YT+IU9jq2qdmrQGxairedc6b4CFb3f8gqnMTN/uQ7i4W+TZzzf4Ttj8b1j6GGz5t/p9OOY5SYqE23OjWrPwRE6tEEHdsFnubuecX5xdTUXdKtUO7iH6I0+tEPVw9Awz0SAfLwNX948H4Mvtx899sG3F8GvfVL/e/A7s/p+TIxSi9SQhEpqKsPUQOaNCBBBb21idvcM55xdnZxsu8/KtndXkGIqi1FWIWroGkWi2m85XZ5j9tDub8mpzI0cD50+CS/+q3v7pMbWxXAg3JgmR0JRTh8wA4gao19k71enSwnXsM8ziHDpccuxkBaVVZrwNOrpEOWmGmTjD+R3D6BThT3m1hZ/35DTtScMehqjzoLwAls5xboBCtJIkREJTUbUJkVN2vAd12wWDD1QVq9OaheuUOKd/aH+OOlzWNSoQb4P8CHMVnU5nX4do+d7GtxIB1NXAr3sL0MHOJVB8zHkBCtFK8tNEaMo2ZFZRY6Gsqgll+OYyeNf1EWWnOf784uyctAbR/toZZr1iZbjM1S6pbabekl6I0tSKa8Jgde84gIxfz32sEBqShEhoKsDHC7/aXbidNmwWP1C9zkpzzvlFw5y0BtHvtRWinrHBDj2vaFz/xBCMXnoKSqs5XFDW9CcmXaJeN3ElbiG0IAmR0Jxt13vnJUQD1GupELmWkypEv2eru8FLhcj1fLwMDEwMBWDz4WY0SScNU6+lQiTcmCREQnNOn3pvb6zeIY3VrmSqrRAFxzvslFVmi70y0StOEiItDOkSAcCW9BNNf1LiEHXRx5MZ0kck3JYkREJzEQFOnmlma6yuLIaT6c55DXEmJ+x0fyivDItVIdjXi9hgX4edVzTdkM7hAGxuTh+RbzDE9VdvZ6x3UmRCtI4kREJzUbYhsxInVYhObayWPiLXUJT60+4dZH+ubbgsGJ2sfKyJ8zuG4aXXkV1cybGTFU1/ovQRCTcnCZHQnG3IzCk73tvY+oiytjvvNUSdKpN9HyxHVoh+z7Y1VMtwmVb8jAaSE0IA2HS4GcNm0kck3JwkREJzEQFObqoGtYcBIHOT815D1LH1D/mGgNFxiyfaZphJ/5C2BnUKA2D38eKmPylhsHp9Mh1qKp0QlRCtIwmR0FxkUG0PkbOGzAA6XaReZ/0G1c2YLixaxlS731VwB4ee1rbLfU/Z1FVTXaPUPeTST5Q3/Ul+YWpjNdTtcSeEG5GESGjO6dt3AIR2hJBEsJrh6BbnvY5QOWGX+/JqM1nFamXB9gtZaKNzpFr1y2jOWkQ6HfiFqrcrTjo+KCFaSRIioblIZ2/watPpYvX6yAbnvo6om2HmwCn3h/PVX77hAUbCaodZhTZsCdGxk+VUm61Nf6KfOtQmCZFwR5IQCc3ZKkSmSjNVZovzXsg2bHZEpv06nROGzGzrD3WVDV01FxXkQ4DRgFWBzMJmDJv5hqrXkhAJNyQJkdBciJ833gZ1CrXTNnmFugrRsW3S1OlstiGzYMcNmR3KKwWgS6QMl2lNp9ORVFslSm/OsJlUiIQbk4RIaE6n09kXZ3RqQhTRFQJjwFIFx1Od9zrilFWqHVchOpSvJkRdo6VC5A6SWtJHZE+IihwfkBCtJAmRcAsRrugj0ulOGTaTPiKnsg+ZOb6HSBqq3UOX2oSoWZu8SoVIuDFJiIRbsPUR5Tu7sTrhQvX6+Dbnvo4nq6mAitqNPx00y8xqVThcUDtkJgmRW0iKaEmFKFS9loRIuCFJiIRbcMnUe6hbHO7YNtno1VlsM8y8/OoqAq2UbaqkssaKt0FHYpifQ84pWqdzlPQQifZFEiLhFmxT753aQwQQmwx6bygvgKIjzn0tT2VvqI5XhykdwNZQ3SkiAC+D/NhyB51rK0Q5pkoqqps4O1QSIuHGNP3JsnbtWq655hri4+PR6XR8/fXX9R6fMmUKOp2u3mXMmDH1jiksLGTixIkEBwcTGhrKXXfdRWlpab1jdu7cybBhw/D19SUxMZEXXnjB2W9NNJPLKkTevhDbT719TIbNnOLUhMhBDtsaqmXKvdsICzAS6u8NQMaJJlaJbAmRrFQt3JCmCVFZWRn9+/dn/vz5Zz1mzJgxZGdn2y+ffvppvccnTpzInj17WL58Od9//z1r165l2rRp9sdNJhOjRo2iU6dOpKam8uKLL/Lkk0/y7rvvOu19ieaLDHLR4oxQN2wmM82cwwkJ0aHahmrpH3Ivtj6iJg+bSYVIuDEvLV987NixjB079pzH+Pj4EBvb8G7Z+/btY+nSpWzdupXBg9Vfcm+++SZXXXUVL730EvHx8SxatIjq6mo+/PBDjEYjffr0IS0tjVdeeaVe4iS0Zd/x3tlDZgAdBgPvSoXIWZxRIbI1VEdKhciddI4MIO1oUdMrRLIwo3Bjbj8Yv3r1aqKjo+nZsyfTp0/nxIkT9sc2btxIaGioPRkCGDlyJHq9ns2bN9uPGT58OEZj3VL/o0ePZv/+/Zw82fA3ZVVVFSaTqd5FOJdtHSKXVoiyd4DZBQmYp7FNuQ9yXEKUUaCuhtxFhszcSodQtcE9q6iiaU+wD5kVg9WJq9IL0QJunRCNGTOG//znP6xYsYLnn3+eNWvWMHbsWCwW9RspJyeH6Ojoes/x8vIiPDycnJwc+zExMTH1jrF9bTvmdPPmzSMkJMR+SUxMdPRbE6exDZkVllVjsTp59ld4F/UHs6UKcnc797U8kYP3MasyW8gqVn/hdoqQhMidxNsToiau/G6bdg9qUiSEG3HrhGj8+PFce+219OvXj+uvv57vv/+erVu3snr1aqe+7pw5cyguLrZfjh496tTXExDub0SnA6uiJkVOpdNBh0Hqbdn53vEcPGR2tLACRYEAo4EI2dTVrXQIa2aFyOANxiD1tgybCTfj1gnR6bp06UJkZCQHDx4EIDY2lry8vHrHmM1mCgsL7X1HsbGx5Obm1jvG9vXZepN8fHwIDg6udxHO5WXQE+ZfO/W+zAXDZrYVqzPWOf+1PInFDKW1328OSogyC9X+lE4RAegcNI1fOEaHUF8Ajjc1IQLZvkO4rTaVEB07dowTJ04QF6eufpuSkkJRURGpqXWzhVauXInVamXIkCH2Y9auXUtNTY39mOXLl9OzZ0/CwhyzaJxwDNtaRAUlLujr6Xypep3xK1itzn89T1GaC4oV9F4QEOWQU9r6hzpF+DvkfMJx4kLUClFJpRlTZU0jR9fyC1GvpUIk3IymCVFpaSlpaWmkpaUBkJ6eTlpaGpmZmZSWlvLoo4+yadMmMjIyWLFiBddddx3dunVj9OjRAJx33nmMGTOGqVOnsmXLFtavX8/MmTMZP3488fHqX6e33norRqORu+66iz179vDZZ5/x+uuvM3v2bK3etjgLl61FBBA3QC3dVxZB7i7nv56nsA2XBcWB3uCQU2YW2hIi6R9yNwE+Xva1iJrdWC0JkXAzmiZE27ZtY+DAgQwcOBCA2bNnM3DgQObOnYvBYGDnzp1ce+219OjRg7vuuotBgwaxbt06fHx87OdYtGgRvXr14oorruCqq67ikksuqbfGUEhICMuWLSM9PZ1Bgwbx8MMPM3fuXJly74ZcmhAZvKBTino7XYbNHMY+w8wxe5hB3aJ/UiFyT/EhLZxpJgmRcDOarkM0YsQIlHPsJ/Xzzz83eo7w8HAWL158zmOSk5NZt05+6bm7qKDaDV5LXJAQAXQeDgeWqX1EF810zWu2dw6eYQaQeUKGzNxZhzA/9mabON7kmWaSEAn31KZ6iET75vKEKGmYep2xXm0GFq1nqxAFd3DI6cwWK0dPqglRkgyZuaWWr0VU5JyAhGghSYiE24iuTYjyXJUQxfYD3xCoLlEXaRStZ59y75ghs+ziSmosCkYvPbHBvg45p3CseNtMs5NNTIhktWrhpiQhEm7D5RUiveGUKtFa17xme2dy7JDZkdrhso7h/uj1MuXeHcW3tEJUcVJWrBZuRRIi4Taig9S/NPNKmtiL4Ai2hEgaqx3DwUNm9obqcOkfclctToiOp8LLveCz25wUmRDNIwmRcBu2CtHJ8hqqzS5aG6hzbUKUuVH2NWstRalrqnbQLDOZcu/+EmoTohxTJWZLE75vbQlRWT7UlMPx7U6MToimk4RIuI1QP2+8aodFXDL1HiDqPPCPVH8wZ8kP5lYpPwGW2qTSQQlRRoFMuXd3kYE+eBt0WBXIbcpw96n7mQFUlzolLiGaSxIi4Tb0ep0GfUR6SLpEvS3DZq1jGy4LiAYvx+w5VlchkoTIXen1OvuK1U0aNovoDlG9oMNg9evqUlktXrgFSYiEW3F5QgR1w2bpa1z3mu2Rg2eYKYpyyqKMMmTmzpo108zbF+7bBJO/q7uvpsxJkQnRdJIQCbfi8qn3AEnD1eujW6DGhQ3d7Y09IXJMQ3VeSRWVNVYMep19rRvhnmyN1U3e5FWnA28/0NX+CqqSYTOhPUmIhFvRpEIU2R0CY8FSpTZXi5axJ0SOnXIfH+qL0Ut+VLmzhObONAM1KTIGqbelj0i4AfkpI9xKVKCtQuTCSo1OB92vVG///r3rXre9OXVjVwewDZfJCtXur9lT7218ahOiKpODIxKi+SQhEm4lqnY1YpdWiAB6X6de7/teGjxbqsSxQ2aZpyzKKNxbXULUzD9kfALVaxkyE25AEiLhVuoqRC5OiDpfCj7BUJoDx7a69rXbCwcPmUmFqO04tYfoXBt2n8FYmxDJkJlwA5IQCbcSHaxBDxGo08R7jFFv7/vWta/dHlitUJSp3g5JcMgpbVPuO8qUe7dnm2VWWmXGVNmMjZKlQiTciCREwq3YKkT5pVXN+0vTEXpfq17v/VZddVk0XWkOmCtBZ4DQjq0+naIopBdIhait8Dd6ER6grj3VrD4ie4WoxAlRCdE8khAJt2KbZVZttmKqaMZfmo7Q9Qrw9ofiTMje4drXbusKD6vXoYlg8G716YrKayiprTRID1HbYKsSNSshsjdVS4VIaE8SIuFWfL0NBPt6AZBf6uI1gYz+0G2keluGzZqnMF29Du/ikNMdqR0uiwn2wc9ocMg5hXPFN2e1ahvpIRJuRBIi4XZsVaI8k4v7iKButpkMmzWPrUIU1tkhpzsiK1S3ObbG6mPNqhDZeohkyExoTxIi4XaitFit2qb7KDAY4cQByN/v+tdvq046uEJUO+W+kwyXtRkdWjL1XobMhBuRhEi4ndjatYhyTRpso+EbDF0uU2/LsFnT2SpE4Y6pENmn3EdKhait6BDWkiEz20rVUiES2pOESLidmBA1Icou1mhfsVNnm4nGKQoUZqi3HVQhkkUZ254WrVYt0+6FG5GESLgdTStEAD2vUqeP5+6CgoPaxNCWlBdCVbF6OyzJIafMqE2IZMp922GbZZZrqqTG0sTV3qWpWrgRSYiE24mrrRDlaJUQ+YdD18vV2zs/0yaGtsQ2XBYUr+5g3kqlVWYKStX+MVmUse2IDPDBaNBjVSCnqdVdqRAJNyIJkXA7MbYKkVZDZgD9x6vXO5fI3maNcXBDtW24LMzfmxC/1q9pJFxDr9cRV1slOt7UYTPpIRJuRBIi4XZiaytEuSVVWKwaTX3vNU79YV2UCUc3aRNDW2FvqE5yyOlsU+47ynBZm2Nbiyi7uIkJkVSIhBuRhEi4nahAH/Q6sFgVTpRqMPUe1KGfPrVrEu34VJsY2gonLcqYJMNlbY6tQtTkCRFGWYdIuA9JiITb8TLo7WsRadZHBJBcO2y252uoacbMGU/jrEUZZYZZm2OvEDV1LSLbOkTWGjBr9MePELUkIRJuyTbTTLOp9wCdLoaQRKgywf6ftIvD3TlrUUYZMmtzYu1LZjS1hyiw7rYMmwmNSUIk3FKM1lPvAfR6SL5Zvb1jiXZxuLOqEijLV287aFHGuoRIKkRtTd0Gr038vjV4gVftzERprBYak4RIuCX71HstK0RQN2x28Bcozdc2Fndk6x/yjwDfkFafrspsIau2uiAVorYnrrlN1SCN1cJtSEIk3FKM1msR2UT1gA6DQLHA7v9qG4s7cnD/0NHCChQFAowGIgONDjmncB1bD9HJ8hoqqi1Ne5IszijchCREwi3Zeog0rxBBXZVIZpudyeH9Q3VT7nU6nUPOKVwn2M8Lf6MBkKn3ou2RhEi4pVh3qRAB9L0J9F6QvQPy9mkdjXuxr0Hk2IZqmXLfNul0uuYPd8vijMJNaJoQrV27lmuuuYb4+Hh0Oh1ff/21/bGamhoee+wx+vXrR0BAAPHx8UyaNImsrKx650hKSkKn09W7PPfcc/WO2blzJ8OGDcPX15fExEReeOEFV7w90Qqx7rBatU1ABHQfpd6W5ur67GsQOXbKvWzZ0XbZN3lt9vYdkhAJbWmaEJWVldG/f3/mz59/xmPl5eVs376dxx9/nO3bt/Pll1+yf/9+rr322jOOfeqpp8jOzrZf7r//fvtjJpOJUaNG0alTJ1JTU3nxxRd58skneffdd5363kTr2CpEZdUWSiprNI6GU7by+BysTeyN8AQOXpRRNnVt++xLZjR1+w7bWkQyZCY05qXli48dO5axY8c2+FhISAjLly+vd99bb73FhRdeSGZmJh07drTfHxQURGxsbIPnWbRoEdXV1Xz44YcYjUb69OlDWloar7zyCtOmTXPcmxEO5W/0IsjXi5JKMznFlQT5arynVY8x6iyqkizIWAddRmgbjzuoqQTTcfW2gxdllISo7YprboVImqqFm2hTPUTFxcXodDpCQ0Pr3f/cc88RERHBwIEDefHFFzGbzfbHNm7cyPDhwzEa62asjB49mv3793Py5MkGX6eqqgqTyVTvIlwvLsQNFme08fKBPjeqt2XYTFV0BFDUHpCAyFafrsZi5dhJtaqQFClDZm1VfHMXZ7RXiGTITGirzSRElZWVPPbYY0yYMIHg4GD7/Q888ABLlixh1apV3HPPPTz77LP85S9/sT+ek5NDTExMvXPZvs7JyWnwtebNm0dISIj9kpiY6IR3JBpj70Voaund2fpPUK/3fAUlDf/f8SinburqgBlhWUUVmK0KPl56YoJ8W30+oQ1bhajJ23dIhUi4iTaRENXU1HDzzTejKApvv/12vcdmz57NiBEjSE5O5t577+Xll1/mzTffpKqq5fvizJkzh+LiYvvl6NGjrX0LogUSwtQfrLaqgeYSL4SEC8FcCetf1zoa7Tm4fyi9oHYPswh/9HqZct9W2SpEWTLtXrQxbp8Q2ZKhI0eOsHz58nrVoYYMGTIEs9lMRkYGALGxseTm5tY7xvb12fqOfHx8CA4OrncRrtchVB02Oe4uFSKdDkb8Vb297UMoyT338e2dwzd1lT3M2gNbhaik0kxplbmRo5EKkXAbbp0Q2ZKhAwcO8MsvvxAREdHoc9LS0tDr9URHRwOQkpLC2rVrqampm6m0fPlyevbsSVhYmNNiF61XVyEq1ziSU3S9/JQq0WtaR6Mt+5CZYxKiDHtDtfQPtWWBPuqECICcplSJpIdIuAlNE6LS0lLS0tJIS0sDID09nbS0NDIzM6mpqeFPf/oT27ZtY9GiRVgsFnJycsjJyaG6uhpQG6Zfe+01duzYweHDh1m0aBGzZs3itttusyc7t956K0ajkbvuuos9e/bw2Wef8frrrzN79myt3rZoog61CdFxdxkyg/pVoq0fQFGmtvFoKXePeh11nkNOZ1+UMVIqRG2dbUJEkzZ5Nco6RMI9aJoQbdu2jYEDBzJw4EBA7QcaOHAgc+fO5fjx43z77bccO3aMAQMGEBcXZ79s2LABUIe2lixZwqWXXkqfPn3417/+xaxZs+qtMRQSEsKyZctIT09n0KBBPPzww8ydO1em3LcBtgpRjqmSGotV42hO0fVySBoGlipY+YzW0WijNB9KcwAdxPR2yCkzZMp9u9GsTV5tFSIZMhMa03QdohEjRqAoylkfP9djAOeffz6bNm1q9HWSk5NZt25ds+MT2ooM8MHopafabCWnuJLEcDcZStHpYNTT8O4I2PkZpMyAuP5aR+VaubvU6/Audb/QWsFiVThaaOshcpN/Z9Fi8aHNqBBJU7VwE27dQyQ8m16vI6G2QfOoO/URAcQPhH5/Vm+veErbWLSQU5sQxfZ1yOmyiiqosSgYDXp7dUG0Xc2qEElTtXATkhAJt+aWfUQ2l/0ddHo4+Atk79Q6GtfK2a1ex/ZzyOlsw2WJ4X4YZMp9m9esRVVPHTKzutHQuPA4khAJt+Z2axGdKrxz3erVnjbjzF4hSnbI6WQPs/bFtqhqkxIiW4UIoKbMSREJ0ThJiIRbSwhT+0ncMiECuPhB9XrPV3ULFbZ3NZVQ8Id6O8YxQ2ZHahdllBlm7YO9QlRU0WgvKN5+aqUVpI9IaEoSIuHWOtT+pXm8yM16iGzikqHbSFCssOFNraNxjfx9oFjALxyC4x1yyroKkTRUtwe2HqKyagumykYWZ9Tp1P3wQKbeC01JQiTcmlsPmdlc/JB6nbYISvM0DcUlTm2odsAeZlC3y72sUt0++BkNhPp7A02dem9rrJaESGhHEiLh1mxDZjnFlZjdaS2iUyVdAh0Gq6tXb35H62icz95Q7Zj+IatV4Uih9BC1N/aZZk2aem+rEMmQmdCOJETCrUUH+eBt0GG2KuSWtHzDXqfS6eCSh9TbW9+HSpOm4TjdsS3qtYPWXsoxVVJttuKl19nXrxFtX7M2eZWp98INSEIk3Jper7PPWLEt3OeWeo6DiO5QWQyb/611NM5TVQLZO9TbnS5yyCkzCmxT7v3xMsiPpPYiLtTWWC2LM4q2QX76CLfXsXaFardOiPR6uPQv6u01z8Px7drG4yyZm9UG8tBOEJLgkFNKQ3X7VLc4YzOm3ksPkdCQJETC7dm27Mh054QI1JWrz7sWrDXw3zvb59DZkfXqdaeLHXdKaahul2zDn83az0wqREJDkhAJt9exrSREOh1c+waEJMLJdFj1L60jcjxbQpTkuISoblNXqRC1J7HBLagQybR7oSFJiITb69RWEiIAvzA1KQLY9iEUZWobjyNVl9cNBTqofwjgSO2QWSdZlLFdqdvgtQmLM/pIU7XQniREwu0ltoUeolN1vRyShoGlWu0nai+Ob1OHA4PiIKyzQ06pKMopFSJJiNqT2NpZZlVmKyfLa859sFGaqoX2JCESbq9j7VBKQWk1pVWNrHrrLq6Yq16nLYaCA9rG4igZv6rXnS522IKMeSVVVNZYMeh19kU4Rfvg42UgMtAIqFWicx9s2+BVhsyEdiQhEm4v2Nfbvuptm6kSJV4IPcaqM7K+vR+sFq0jar3ff1Cvu4xw2CltU+4Twvzwlin37U6TZ5pJU7VwAy36CbR27VrM5jP/Ujebzaxdu7bVQQlxujbTWH2qsc+rezRlboT1r2sdTevk/Q65u0HvDb3GOey0GTLDrF2zbfKa09hMM1mYUbiBFiVEl112GYWFhWfcX1xczGWXXdbqoIQ4XZtYi+h0YZ3UpAhg1bN1Cxq2RXu+VK+7XQH+4Q47raxB1L7ZFlXNarRCJD1EQnstSogURUHXQA/BiRMnCAiQv/SE49kSItuMpDZjwK3Q62q1GfnLaVDThCnI7kZRYHdtQtTnRoeeWtYgat9sjdXZjfUQGaWHSGjPqzkH33ij+sNQp9MxZcoUfHx87I9ZLBZ27tzJRRc5bjquEDZtcsgM1Obja96Ao1sg/3dY8U8YM0/rqJonZxecOABevtBzrENPnVEgFaL2LM6+n1lTK0SSEAntNCshCgkJAdQKUVBQEH5+dbNCjEYjQ4cOZerUqY6NUAja6JCZTUAEXDcfFv8ZNv0f9Bjt0MZkp9vzlXrd/UrwDXbYaRVFkQpRO2cbMmt0tWqZdi/cQLMSoo8++giApKQkHnnkERkeEy5jW4vo2MkKLFYFg94x075dpscoGHynuljjV9Phvg3qIo5twf6f1Ove1zv0tAWl1ZRVW9DrIDFcpty3R3VN1ZVYrQr6s33f2ipE1howV4GXT8PHCeFELeoheuKJJyQZEi4VH+qHt0FHtcVKjqkN9uEAjHoGwrtCSRb88IjW0TRN4WHI3wd6L7Wh2oFs1aH4UD98vAwOPbdwDzHBvuh0UGNRKCirOvuBth4ikCqR0EyLEqLc3Fxuv/124uPj8fLywmAw1LsI4Wjqwn1qlci2dk2bYwyAG98FnQF2/xd2/VfriBq3f6l63ekih1e00gtkher2ztugJzpIrfbknKuPyOAFXrVVQmmsFhpp1pCZzZQpU8jMzOTxxx8nLi6uwRlnQjhaUoQ/6QVlpBeUcXG3SK3DaZmEwTD8UVjzHPwwGzoOhZAEraM6u/0/qtc9r3L4qe17mElDdbsWF+JHrqmKrKJKks/1X90nEMwVUiESmmlRQvTrr7+ybt06BgwY4OBwhDi7pMgA2J9vH2pps4Y/AgeWQdZ2+Ho63PaV+heyu6k4CUc2qLd7jHH46WUPM88QF+JL2tEmNlaX5cvijEIzLRoyS0xMbHz3YiEcrHPtbujpBW1wptmpDN5w43vqEEH6Wvj6Xvfc2mPvt6BYILo3hDtmM9dTSYXIMzR9+w6ZaSa01aKE6LXXXuOvf/0rGRkZDg5HiLOzVRIy2nqFCCCyG9z0vtqsvOsL+Ooe90qKygthxVPq7eRbHH76U3e5tyW6on2KD61di6ipizNWmZwckRANa1Gd/pZbbqG8vJyuXbvi7++Pt7d3vccb2tZDiNay/eLMPFHeNqfen+68q+HPC+CLKWpShA5ueAf0bjAxYekcKC9Qq0ND73P46U+W11BSaUanq1tSQbRPza4QyZCZ0EiLEqLXXnvNwWEI0bj4UD+MBj3VFitZRRXt4xfpedfAnz6C/94Buz5X77v+/9RhNa2kr4OdS0Cnh2vfAi+jw1/CVh2KC/bF19sNEkDhNHGhTd2+Q4bMhLZalBBNnjzZ0XEI0SiDXkdiuB+H8svIOFHWPhIigN7Xwp8+hP/eqSZFVSY1STJq9P7Wv65eD7oDEgY55SVsjfEdpX+o3YuvrRDlllSdu7IrFSKhsRb1EGVmZp7zIoSz2IbN2uxaRGfT+zq4ZZG6X9gfS+HjG9RZXq6W/wccXA7o4KKZTnuZI/Zd7qV/qL2LCvLBS6/DYlXIKznHsJlP7bYwsp+Z0EiLKkRJSUnnXHvIYnGj5lDRrth+gbb5mWYN6TkGJn0Di2+Go5vgw7Fw+5cQHO+6GDa/UxvLVRDexWkvk1mbELWbKp84K4NeR0ywL8eLKsgqqrT3FJ3BKBUioa0WVYh+++03tm/fbr9s3ryZd955hx49evDFF180+Txr167lmmuuIT4+Hp1Ox9dff13vcUVRmDt3LnFxcfj5+TFy5EgOHDhQ75jCwkImTpxIcHAwoaGh3HXXXZSW1v+G2rlzJ8OGDcPX15fExEReeOGFlrxt4QaSItvRTLOGdBwKdyyFoDh1y4z3roCs31zz2uWFsONT9fbQ6U59qSOFMuXek9hmmp1zLSKZdi801qKEqH///vUugwcPZurUqbz00ku88cYbTT5PWVkZ/fv3Z/78+Q0+/sILL/DGG2/wzjvvsHnzZgICAhg9ejSVlXVl14kTJ7Jnzx6WL1/O999/z9q1a5k2bZr9cZPJxKhRo+jUqROpqam8+OKLPPnkk7z77rsteetCY53be0IEENMb7vwZInuo+559OAb2fuP8113xT6gph9h+kHSJU1/KvgZRuAyZeQLbrvfnnHpvb6qWITOhDYcuj9uzZ0+2bt3a5OPHjh3L2LFjG3xMURRee+01/vGPf3DdddcB8J///IeYmBi+/vprxo8fz759+1i6dClbt25l8ODBALz55ptcddVVvPTSS8THx7No0SKqq6v58MMPMRqN9OnTh7S0NF555ZV6iZNoG2wVoqOF5ZgtVrwMLcrp3V9YJ7j7F/jf3eqq1v+9EyYsge5XOuf10tdB6gL19pjnwYnb8ZRVmSkoVTf6lKZqz2AbJssqOkcPkW9tD1FlsQsiEuJMLfptYjKZ6l2Ki4v5/fff+cc//kH37t0dElh6ejo5OTmMHDnSfl9ISAhDhgxh48aNAGzcuJHQ0FB7MgQwcuRI9Ho9mzdvth8zfPhwjMa6qcOjR49m//79nDzZcNNqVVXVGe9RuAd1mraeGovC0ZONTONt63xD1CSo35/BaobPbodDKx3/OkVH4bsH1NuD74Skix3/GqfIrB0uC/X3JsRPw+UFhMt0aMrijH7h6nWFrGMntNGihCg0NJSwsDD7JTw8nN69e7Nx40befvtthwSWk5MDQExMTL37Y2Ji7I/l5OQQHR1d73EvLy/Cw8PrHdPQOU59jdPNmzePkJAQ+yUxMbH1b0g4hF6vo0ukWlo/mOcBvQZ6A1z3f9BtpLrx5cc3wKe3wtEt0NrtcxQFtrwH84dA4WEIioeRTzok7HOpGy6T6pCnsFeIztVD5B+hXpdLQiS00aIhs1WrVtX7Wq/XExUVRbdu3fDycsNNKptpzpw5zJ492/61yWSSpMiNdI8JZG+2iYN5pVzZO6bxJ7R1Xka4+T+w7B+QuhD2/6BewrvABXfD+ZPAJ6j55/31VbVvCCBxKFw3X61KOVlmoW0NIukf8hS2HqLscw2Z+Z9SIVIUpw7bCtGQFmUvl156qaPjOENsbCwAubm5xMXF2e/Pzc1lwIAB9mPy8vLqPc9sNlNYWGh/fmxsLLm5ufWOsX1tO+Z0Pj4++Pj4OOR9CMfrFqVWiA7keVDzpTEArn4VhtyrJjJ7v1WrOj//DVY/D4PvUB8Ljmv8XIoC2z6oS4Yu+wcMexj0runHkgqR57HNMjtRVk1ljaXh1cltQ2ZWs9pYbespEsJFWlzOOXToEK+99hr79u0DoHfv3jz44IN07drVIYF17tyZ2NhYVqxYYU+ATCYTmzdvZvp0dUpwSkoKRUVFpKamMmiQuqLuypUrsVqtDBkyxH7M3//+d2pqaux7ri1fvpyePXsSFhbmkFiFa3WLVhOiQ54wZHa6qJ7qfmdXvaTuf7ZxPpw4AOtfg41vQcKF6tR9L18wV0JZXt2sHS9fCIiC9DWQs0u975JZcOmjLn0Lth4iaaj2HCF+3vgbDZRXW8gurmx4Q1+jf93/24pCSYiEy7UoIfr555+59tprGTBgABdfrDZgrl+/nj59+vDdd99x5ZVNmwlTWlrKwYMH7V+np6eTlpZGeHg4HTt25KGHHuKZZ56he/fudO7cmccff5z4+Hiuv/56AM477zzGjBnD1KlTeeedd6ipqWHmzJmMHz+e+Hh1Mbtbb72Vf/7zn9x111089thj7N69m9dff51XX321JW9duAFbQnQwrxRFUc65SGi75ROoVoXOn6yubL3hDcjcCJkb1EtjvP0hZSZc9jfnx3oaqRB5Hp1OR3yoHwfzSskqqmg4IQK1SlSSpfYRhSW5NEYhWpQQ/fWvf2XWrFk899xzZ9z/2GOPNTkh2rZtG5dddpn9a1vfzuTJk1mwYAF/+ctfKCsrY9q0aRQVFXHJJZewdOlSfH197c9ZtGgRM2fO5IorrkCv13PTTTfVWwspJCSEZcuWMWPGDAYNGkRkZCRz586VKfdtWKeIALz0Ospq/9q09Sd4JL0eel2lXgrT4fAqtfqjKOoGsQHRal+QTgfVZVCWD4ExMPC2up4NFzJbrByvnWkkFSLPEhfia0+Izsq/NiGSmWZCAy1KiPbt28fnn39+xv133nknr732WpPPM2LECJRzzJTR6XQ89dRTPPXUU2c9Jjw8nMWLF5/zdZKTk1m3bl2T4xLuzeilp1OEP4fyyziYV+rZCdGpwjurFzeWVVSJxapg9NITE+Tb+BNEu9EhtAlrEfnVtjHITDOhgRZ1UUZFRZGWlnbG/WlpaWdMgxfCGU4dNhNtxxHbDLNwf/Rn2/VctEu2qffn3L7DVrWUhEhooEUVoqlTpzJt2jQOHz7MRRddBKg9RM8//3y96epCOEv36CB+3pPLAUmI2hTpH/Jctplmx885ZFa7FpEMmQkNtCghevzxxwkKCuLll19mzpw5AMTHx/Pkk0/ywAMPODRAIRri0TPN2jCZYea5mrSfmZ9UiIR2WpQQ6XQ6Zs2axaxZsygpUaf0BgW1YGE4IVrIlhB51FpE7cCR2k15pULkeeyLMxZXnn12qL9s3yG006IeovT0dA4cOACoiZAtGTpw4AAZGRkOC06Is+kaFYheByfLa8grOUeTpnAr9iEzWaXa48SFqENm5dUWiitqGj5IKkRCQy1KiKZMmcKGDWeudbJ582amTJnS2piEaJSf0WDf+X5ftlSJ2gJFUWTIzIP5ehuICFA32T7rTDOpEAkNtSgh+u233+wLMp5q6NChDc4+E8IZzotTV7Ldl23SOBLRFAWl1ZRXW9DpICFMlkrwRI32EdkrRCddFJEQdVqUEOl0Onvv0KmKi4uxWCytDkqIpjgvVh2qlYSobbBt6hof4oePVwN7WYl2zzZsdtap91IhEhpqUUI0fPhw5s2bVy/5sVgszJs3j0suucRhwQlxLrYK0e8yZNYm2PqHEsOlOuSpbBWi42cbMrMtzFhdCuYqF0UlhKpFs8yef/55hg8fTs+ePRk2bBgA69atw2QysXLlSocGKMTZ2BKiQ/mlVJktUnVwc7b+oU7h0lDtqWxrEZ21QuQbCjo9KFa1sTo4znXBCY/XogpR79692blzJzfffDN5eXmUlJQwadIkfv/9d/r27evoGIVoUFyILyF+3pitCgdyZT0id5d5QhqqPV2jPUR6fV2VSIbNhIu1qEIE6kKMzz777DmPue+++3jqqaeIjIxs6csIcVY6nY7z4oLYdLiQfdkm+nYI0TokcQ5HbBUiSYg8VnyT9jMLh/ITMvVeuFyLKkRN9cknn2AyScOrcJ5esbV9RDnSR+Tu6rbtkCEzTxVfu59Zjknd5LdB0lgtNOLUhOhcO9kL4Qi9Zep9m1BWZaagVG2SlSEzzxUV5IOXXofFqpx9QVVZnFFoxKkJkRDOdupaRJKAuy9bQ3Wovzchft4aRyO0YtDriAlWG6tlcUbhbiQhEm1a95hADHodJ8tryDXJNF13lV6grkHUOVKGyzxdh0YXZ6xtqpYKkXAxSYhEm+brbaCLfQsPGTZzV/aESPYw83hxjU2995chM6ENSYhEm2cfNsuRhMhdHc6XCpFQNTrTLCBKvS7Ld1FEQqicmhDddtttBAcHO/MlhKBXnG0LD5lp5q7SC9R1ojpHSULk6RpdiygwRr0uy3NRREKoWpQQffTRR3zxxRdn3P/FF1+wcOFC+9dvv/22rEEknE42eXV/0kMkbOJr9zPLOtuQma1CVCoJkXCtFiVE8+bNazDRiY6ObnSxRiEczTb1/nB+KZU1srmwuykqr+ZkeQ0ASdJD5PEaHTKzV4jywWp1UVRCtDAhyszMpHPnzmfc36lTJzIzM1sdlBDNER3kQ3iAEasCf+TKsJm7sVWHYoN9CfBp8eL4op3oEKYmRIVl1ZRVmc88wFYhspqh4qQLIxOerkUJUXR0NDt37jzj/h07dhAREdHqoIRoDtsWHoDsfO+GZLhMnCrYt24tqmMnGxg28zLWTb2XPiLhQi1KiCZMmMADDzzAqlWrsFgsWCwWVq5cyYMPPsj48eMdHaMQjbJt4bFX+ojcjj0hkoZqUSuhtkp07GR5wwfYhs1Kc10UkRAt3Nz16aefJiMjgyuuuAIvL/UUFouFyZMnSw+R0IQ0Vruvw7UJURepEIlaiWH+7MkycbTwLAlRQBTk/y6N1cKlWpQQGY1GPvvsM5555hl+++03/Pz8SE5OplOnTo6OT4gm6ROvJkR7skxYrQp6vU7jiIRNuqxBJE6TGK5WiI42NGQGp1SIJCESrtPiDscPPviAV199lQMHDgDQvXt3HnroIe6++26HBSdEU3WPDsTP20BplZnDBaV0iw7SOiSBusGz9BCJ0yWEqRv8nn3ILFq9liEz4UItSojmzp3LK6+8wv33309KSgoAGzduZNasWWRmZvLUU085NEghGuNl0NOvQwhbMgpJO1osCZGbyDVVUVFjwaDXkRguu9wLlb1CVHi2ClFtQiSrVQsXalFC9Pbbb/Pee+8xYcIE+33XXnstycnJ3H///ZIQCU30T1QToh1Hi/jToAStwxHA4doVqjuG++NtkJ2ChCqxtkJ0VJqqhRtp0U+ompoaBg8efMb9gwYNwmxuYF0JIVygf2IoADuOFWkah6gjw2WiIba1iEoqzRRX1Jx5QIBtyEwqRMJ1WpQQ3X777bz99ttn3P/uu+8yceLEVgclREv0TwgF1JlmsmK1e5CGatEQf6MXkYFGgIZnmkkPkdBAq5qqly1bxtChQwHYvHkzmZmZTJo0idmzZ9uPe+WVV1ofpRBNkBDmR0SAkRNl1ezLNjGwY5jWIXk8qRCJs0kI86egtJpjJ8vp2yGk/oO2hKi8AKwW0BtcH6DwOC1KiHbv3s35558PwKFDhwCIjIwkMjKS3bt324/T6WTqs3AdnU5H/8RQVv6ex46jRZIQuQFJiMTZJIT5kXa0qOHVqv0jAR0oVig/UZcgCeFELUqIVq1a5eg4ziopKYkjR46ccf99993H/PnzGTFiBGvWrKn32D333MM777xj/zozM5Pp06ezatUqAgMDmTx5MvPmzbMvKinaj/4JtQnRsWKtQ/F4NRYrmbXDIZIQidPZZh02OGRm8IKASHWWWWmuJETCJdw+I9i6dSsWS10/yO7du7nyyiv585//bL9v6tSp9Wa2+fvXTe+1WCyMGzeO2NhYNmzYQHZ2NpMmTcLb21tW1W6HBnQMBSD1iGwKqbVjJyswWxV8vfXEBvtqHY5wM3Uzzc4y9T4gujYhksUZhWu4/TzYqKgoYmNj7Zfvv/+erl27cumll9qP8ff3r3dMcHCw/bFly5axd+9ePvnkEwYMGMDYsWN5+umnmT9/PtXV1Vq8JeFE53cMRa+DzMJyck2VWofj0dJrp9wnRQTIyuHiDLb9zM66fYe9sVoSIuEabp8Qnaq6uppPPvmEO++8s15/0qJFi4iMjKRv377MmTOH8vK6b7CNGzfSr18/YmJi7PeNHj0ak8nEnj17GnydqqoqTCZTvYtoG4J8ve37mm1JL9Q4Gs92uHaGWRfZ1FU0IClC/X9xpLAci1U58wCZaSZcrE0lRF9//TVFRUVMmTLFft+tt97KJ598wqpVq5gzZw4ff/wxt912m/3xnJyceskQYP86JyenwdeZN28eISEh9ktiYqLj34xwmguSwgHYmiEJkZakoVqcS4cwP4xeeqrNVrKKGhg2kwqRcDG37yE61QcffMDYsWOJj4+33zdt2jT77X79+hEXF8cVV1zBoUOH6Nq1a4teZ86cOfWWDjCZTJIUtSEXdg5nwYYMqRBprC4hCtQ4EuGODHodSRH+/JFbyqH80jO3dgnpqF6fzHB5bMIztZkK0ZEjR/jll18a3Tx2yJAhABw8eBCA2NhYcnPrl1xtX8fGxjZ4Dh8fH4KDg+tdRNthqxDtzy1peBVc4RJSIRKN6VKbLB+qHV6tJ6KLel14yIURCU/WZhKijz76iOjoaMaNG3fO49LS0gCIi4sDICUlhV27dpGXV1d2Xb58OcHBwfTu3dtp8QrtRAX50DkyAEWB1CNSJdJCWZWZ7GK1qV0SInE2tv6yw/mlZz4YXlvhL0wHq9WFUQlP1SYSIqvVykcffcTkyZPrrR106NAhnn76aVJTU8nIyODbb79l0qRJDB8+nOTkZABGjRpF7969uf3229mxYwc///wz//jHP5gxYwY+Pj5avSXhZBckqYsybkmX6fda+CO3BIDIQB/CA4waRyPcVZcotUJ0uKEKUUgi6L3BUgWmYy6OTHiiNpEQ/fLLL2RmZnLnnXfWu99oNPLLL78watQoevXqxcMPP8xNN93Ed999Zz/GYDDw/fffYzAYSElJ4bbbbmPSpEn11i0S7Y9t2GxL+gmNI/FM+3PUhOi8uCCNIxHuzF4hKmigQmTwgrAk9fYJGTYTztcmmqpHjRqFopw5LTMxMfGMVaob0qlTJ3788UdnhCbc1NAuEQDsPFZMebUZf2Ob+K/ebvxemxD1jJGESJxd19oeolxTFaVVZgJ9Tvs+jegKJw6ofURdL9MgQuFJ2kSFSIjmSgz3p0OoH2arIqtWa+D3HHXtrp6xkhCJswvx9yaidkg1vaFhM1sf0YnDLoxKeCpJiES7NaSLOmy26bAMm7mSoiinDJnJDE1xbuccNpOZZsKFJCES7ZZt2GzTYZlp5kr5JVWcLK9Br4Nu0bIGkTi3c069t1eIJCESzicJkWi3UmoToh1HiyivNmscjefYV1sdSooMwNfboHE0wt2dc+p9RG1CdDIDLPI9LJxLEiLRbiWE+UkfkQb21/YPnRcrw2WicV2jzlEhCk4Agw9Ya6D4qIsjE55GEiLRbul0Onsf0WYZNnMZ+wwzaagWTWAbVj2cX3rmJq96PYR3Vm9LH5FwMkmIRLtW10ckjdWusl8SItEMieH+GL30VJmtHDtZfuYBMtNMuIgkRKJdG9q5to/omPQRuUKNxcqBPLUXRIbMRFMY9Dr7sNmB3HP0EZ044MKohCeShEi0a4nhfsSH+FJjUdh+pEjrcNq9P3JLqDZbCfb1IjHcT+twRBvRvXbY7GBDjdVRvdTr/P0ujEh4IkmIRLum0+lk2MyFdh8vBqBvhxB0Op3G0Yi2wpYQNVghiuqpXktCJJxMEiLR7klC5Dq7ahOifh1CNI5EtCXdY2orRHklZz4Y2V29Ls2BymIXRiU8jSREot2zJUQ7jhVRUW3ROJr2bddxdcp9X0mIRDN0i1Yb8A/klZ65b6VvCATFqbfz/3BxZMKTSEIk2r16fUSZsh6Rs9RYrOzLVhMiqRCJ5ugU4Y+3QUd5tYWs4sozD7ANmxXIsJlwHkmIRLt3ah/RugMFGkfTfh3ILaXabCXI14tOEf5ahyPaEG+Dns6R6orVB3IbGjaz9RH97sKohKeRhEh4hMvPiwbgux1ZWE9f/E04hL2hOl4aqkXz2RZoPJjXUGN1D/VahsyEE0lCJDzCyPNiCPLx4nhRBVsyZNVqZ7A3VCfIcJloPnsfUUMzzSJlyEw4nyREwiP4ehsYl6w2Zn65/ZjG0bRPu06Zci9Ec/WqXdl8d1YDM8lsaxGdPAI1FS6MSngSSYiEx7hhYAcAftyVQ2WNzDZzpIpqC3uz1Ibq/lIhEi1wfscwAPZlmyitOm1V+YBI8AsDFCiQFauFc0hCJDzGBUnhJIT5UVplZtneXK3DaVd+yzxJtcVKXIgvHcOloVo0X2yILwlhflgV9f9TPTrdKY3VMmwmnEMSIuEx9Hod1w9Qq0Tf78jSOJr2xbbo5dAuEdJQLVrsgqRwALZmNLA8RvwA9TpjresCEh5FEiLhUa7qp/YRrf4j/8yyvGixTYfVRvWhXcI1jkS0ZYOT1GGzbQ1NfOgxRr3evxSsVhdGJTyFJETCo5wXF0TnyACqzVZW7JNhM0eoqLaQdrQIqFsVXIiWsFWI0o4WUWM5LenpdDH4BENZHmRt1yA60d5JQiQ8ik6nY1xtlejHXdkaR9M+2PqHYoOlf0i0TreoQEL8vCmvtthXPbfzMkK3kert/T+6PjjR7klCJDyObdhs1X4ZNnOEuv6hcOkfEq2i1+sY1EkdNmuwj6jnVer1/p9cGJXwFJIQCY8jw2aOVdc/JMNlovVsfUS2RLue7iNBZ4C8vVCY7uLIRHsnCZHwODqdjmtqF2n83/bjGkfTtlWbraQdKwLggs7SUC1ab3j3KAA2HCygynzaemF+YdDpIvX2H0tdHJlo7yQhEh7pxvMTAPj1QD65pgZ21xZNsjurmGqzlfAAI11qN+cUojV6xwUTFeRDWbWFbeccNpM+IuFYkhAJj5QUGcDgTmFYFfjqN6kStdT2I+ovrPM7hkn/kHAIvV7HiB5qlWjV73lnHtCzdvp9xnqoaCBhEqKFJCESHutPg9Qq0f9Sj6EoisbRtE22v+BtjbBCOMJlvaIBWLW/gYQovIu6t5ligYMrXByZaM8kIRIe66rkOHy89BzIK2XnsQY2lBTnpCgKqbVbLNgaYYVwhEu6R2LQ6ziUX0bmifIzD+g5Vr2WYTPhQJIQCY8V7OvN6D6xAPxv+zGNo2l7jhZWkF9ShbdBRz/Z4V44ULCvN4Nrq44NVolsfUQHfgFztQsjE+2ZJETCo91UO2z27Y6sM2e0iHPadkSdbt+3Qwi+3gaNoxHtzaU91T6i9QcLznywwyAIiIKqYtj9XxdHJtort06InnzySXQ6Xb1Lr1697I9XVlYyY8YMIiIiCAwM5KabbiI3t/66MpmZmYwbNw5/f3+io6N59NFHMZtlMT6huqRbJDHBPhSV17ByXwN/iYqzSq1tqB7UUYbLhOOl1K5rtTm9EKv1tB4/vQGG3Kve/umvUCwTI0TruXVCBNCnTx+ys7Ptl19//dX+2KxZs/juu+/44osvWLNmDVlZWdx44432xy0WC+PGjaO6upoNGzawcOFCFixYwNy5c7V4K8INGfQ6bhhY21wtw2ZNpigKa/7IB2T9IeEcfTuEEGA0UFxRw+85JWcecPFDaqWoqhi+mQGnT4zY/xOkr3NJrKJ9cPuEyMvLi9jYWPslMjISgOLiYj744ANeeeUVLr/8cgYNGsRHH33Ehg0b2LRpEwDLli1j7969fPLJJwwYMICxY8fy9NNPM3/+fKqrZdxZqP40qAOgbuWRX1KlcTRtw45jxRw7WYGft8G+kJ4QjuRt0DO4drPXzekNrFpt8IIb/g1evnB4Fez+X91j2Tvh0/HwyY1Qmu+iiEVb5/YJ0YEDB4iPj6dLly5MnDiRzMxMAFJTU6mpqWHkyJH2Y3v16kXHjh3ZuHEjABs3bqRfv37ExMTYjxk9ejQmk4k9e/ac9TWrqqowmUz1LqL96hYdxIDEUCxWhQUbZDuApvhhZxYAV5wXjZ9R+oeEcwzpoiZEDW7jARDZHYY9rN5e8RSYa/+g2fyOem2php1LnBylaC/cOiEaMmQICxYsYOnSpbz99tukp6czbNgwSkpKyMnJwWg0EhoaWu85MTEx5OTkAJCTk1MvGbI9bnvsbObNm0dISIj9kpiY6Ng3JtzOvZd2AWDhhiMUl9doHI17UxSFH3ZmA3B1crzG0Yj2bOi5+ohsUmZAYCwUHYGtH0BpHuz6ou7x7f85czhNiAa4dUI0duxY/vznP5OcnMzo0aP58ccfKSoq4vPPP3fq686ZM4fi4mL75ejRo059PaG9Ub1j6RkTRGmVmQUbMrQOx61tzywiq7iSAKOBET1luEw4T78OIfgbDRSV17A/t4E+IgBjAFz2N/X2qmfhf3eplaHYfuAdAAV/wNHNrgtatFlunRCdLjQ0lB49enDw4EFiY2Oprq6mqKio3jG5ubnExqpry8TGxp4x68z2te2Yhvj4+BAcHFzvIto3vV7HjMu7AfDh+nRKKqVKdDa26tCVvWNkur1wqlP7iDYcOsuwGcCAiZBwIVSXQPpa9b5LZkHfG9TbqQudHKloD9pUQlRaWsqhQ4eIi4tj0KBBeHt7s2JF3dLt+/fvJzMzk5SUFABSUlLYtWsXeXl106mXL19OcHAwvXv3dnn8wr2N6xdHl6gAiitq+HjTEa3DcUtWq8KPu9SEaJwMlwkXGN5dnUjz856ztzlg8IIpP6hN1h0GQfdRcN51cP4U9fFdn0Pu2ftGhQA3T4geeeQR1qxZQ0ZGBhs2bOCGG27AYDAwYcIEQkJCuOuuu5g9ezarVq0iNTWVO+64g5SUFIYOHQrAqFGj6N27N7fffjs7duzg559/5h//+AczZszAx8dH43cn3I1Br2PGCLVK9P66dMqrZb2q06VmniTHVEmQjxfDe0RqHY7wAGP6qtX8rRmF5Jkqz36glxH6j4epK2HiF2qSlDAYel0NVjN8MxOssviqODu3ToiOHTvGhAkT6NmzJzfffDMRERFs2rSJqCi1b+HVV1/l6quv5qabbmL48OHExsby5Zdf2p9vMBj4/vvvMRgMpKSkcNtttzFp0iSeeuoprd6ScHPXDYinY7g/hWXVLN6cqXU4bsc+XNYnBh8vGS4TzpcQ5s+AxFAUBZaeq0rUEJ0OrnoJfEIgaztsets5QYp2QafINt+NMplMhISEUFxcLP1EHmDJlkz++uUuooN8WPPoZTKtvJbFqjB03gryS6r4cMpgLu8V0/iThHCA99Ye5l8/7mNI53A+uyel+SdIXQjfPaA2Wd+fCsFxjg9SuKXm/P526wqREFq48fwEOoT6kVdSxbtrD2sdjtvYmlFIfkkVwb5eXNJNZpcJ1xnbTx0225JRSF7JOYbNzmbg7ZBwAdSUqesVCdEASYiEOI3RS8+cq9Q9895ec5CsogqNI3IPn29Vl58Y3ScWo5f86BCuc+qw2Xc7spt/Ar0exjyv3t6xGI6lOjZA0S7ITzUhGjCuXxwXJoVTWWNl3k+/ax2O5n7PMfFVmrqB5m1DO2kcjfBEfxqk7jm4cEMGlrMt0nguCYOg/63q7cU3w67/yoKNoh5JiIRogE6nY+41vdHp4LsdWexvaHNJD/LC0v0oCoxLjqN/YqjW4QgPdOP5HQjx8yazsJwV+3Ibf0JDrvwnRPeG8gJ1AcfFN0ORLLwrVJIQCXEWfTuEMKaP2rvgyb1Emw6fYOXveXjpdTwyqqfW4QgP5W/0YsKFHQH44NcW7jkYGA3T1sBlfweDEQ4sg/lD1Cn5e74Cs2z67ckkIRLiHKYNV/c4+3bHcXKKW9DM2cYpimIfMpxwYUc6RwZoHJHwZJMv6oRBr2NzeiG7jxe37CReRrj0L3DveuiYojZa//YxfDEFPrgSThxyaMyi7ZCESIhzGNgxjAuTwqmxKHy0oYV/lbZhS3fnsONoEf5GA/df0U3rcISHiwvx4+pkdcr8a7/80bqTRfWAKT/CbV9CykzwC4PsNPj3cFj/BtR43h9Ank4SIiEaYasSfbLxCEcLyzWOxnVqLFZe/Hk/AHcP60J0kK/GEQkBD17RHYNexy/78kg9crJ1J9ProdsVMPpfasWo0yVQXQrLH4e3LoBj2xwTtGgTJCESohGX94rmgqQwyqotPPLFDqwtmeHSBn2+7SiHC8qICDAydVhnrcMRAoAuUYHcdH4HAF6qTdgdIqQDTP4Wrvs/CIqH4kxYeA0c/MVxryHcmiREQjRCr9fx0p/74280sDm9kA/Xt/+hs/JqM6/9cgCA+y/vRpCvt8YRCVHngSu6YzTo2Xj4BD/tasG6RGejN8DAiTBzK3S9HGrKYdGf1cvOL6C80HGvJdyOJERCNEGniAD+Pu48AF5e9gfZxe17scYPf00nv6SKjuH+3DpE1h0S7iUhzJ+pw9Wq5WP/28mxkw4eyvYJhAmfQf8JoFjV2Whf3g0vdIH3roDN/4ayAse+ptCcJERCNNGtF3bkgqQwKmosPN+OF2s8UVrFO2vUZQYeGd1TVqUWbumhkT3onxiKqdLMg0vSMFusjn0BLyPc8A7M3AbDH1XXL0KB49vgp7/Ayz1h8XjY9x1YLY59baEJ2dy1CWRzV2Gz61gx187/FUWB/01PYVCncK1DcihFUbjn41SW7c2lb4dgvp1xCXq9TuuwhGhQ5olyxr2xjpIqM/Nu7Gdfp8hpTFmw9xvYsUSdkWYT3gXOuxaC4qDjUIgf4Nw4RJPJ5q5COEm/hBBuHpQIwN+/2k1Fdfv6y/CTTUdYtjcXb4OOeTckSzIk3FrHCH9mXdkDgFeW/0FZldm5LxgcD0Onwz1r4L7NcPGD4BsKhYdh/Wuw9DF491JYcDX8sUy2BmljpELUBFIhEqfKL6li7OtrKSit5oaBHXjl5v7odG0/cdh1rJib3tlAtdnK41f35q5LZGaZcH/VZisjX1lDZmE5D43szkMje7g2gKpS2PU55O1TtwE5uBystYlZ1Hlw3jUQ0wdi+0FYZ3Wqv3CZ5vz+loSoCSQhEqfbdPgEE9/fjMWq8NR1fZiUkqR1SK2SU1zJdfN/JddUxRW9onl/8uB2keQJz/D9zixmLv4NP28Dn9+TQr+EEO2CKT4Gm96G1IVQfdoeiN4B0CkFul4B/ceDf/sacndHkhA5mCREoiHvrzvMMz/sw0uv47N7hrbZfqL8kiqmfLSFPVkmesQE8t/pFxEs0+xFG6IoChPf38yGQycI9vVi0d1DtU2KACqLYdd/IWs75O5RK0jmU1a/9g1Vh9w6DFKH4sI6g8FLs3DbK0mIHEwSItEQRVGY+elv/LAzm5hgH767/5I2t5rz2j/ymf35DgpKq4gIMPL1jItJDPfXOiwhmq2ksoYpH20l9chJgny8ePPWgYzoGa11WHUsZsj/HQ6vhrRFkLe3/uMGH7UZ+5LZ0GM0SIXWISQhcjBJiMTZlFWZuX7+eg7kldI1KoD3J1/QZjZA/WTTER7/ZjeKAj1jgnjr1oF0jwnSOiwhWqyksoa7FmxjS0Yheh1MHdaFsf3i6NchBIM7TRCwWmDHp7DzcyjJUYfZasrqHu8wSN14NvFC6HkVGKRi21KSEDmYJETiXA7nlzLx/c1kF1cS7OvFO7cN4qJukVqHdVZmi5U3VhzgjZUHAfjzoASevr4vvt4GjSMTovWqzBYe/3o3n287Zr8vpUsE/7nrQrwNbtrQbLXCyXTYvhA2vQOWqrrHQhLhwmmQfAsExWgXYxslCZGDSUIkGpNXUsk9H6fyW2YRRoOeV28ZwLjaXbndyd4sE4/9bye7jhcD6hYIs0Z2lwZq0a4oisL3O7P5YWc2q//Io7LGqs0MtJYwZan7p+Xsgj1fQVm+er9OD91HQcpMSLpEhtSaSBIiB5OESDRFZY2F2Z+n8eOuHHQ6eGRUT+69tKvblOr/l3qMOV/totpsJdjXi7nX9OFPgxK0DksIp/om7TgPLknDoNfx1X0XkZwQqnVITVdTCTs/g98+gWNb6u6P6atuK9JjtLoopF6qu2cjCZGDSUIkmspiVXji2918sikTgIu6RjD7yh4M6hSmWRWmqLyaV5b/wX82HgHgil7RzLupX5trABeiJU6d/BDk48W9I7oyrl8cUUE+BPi0oVldBQdh0/+pDdmnzlbz8oO+N8Gop2UafwMkIXIwSYhEcyiKwhepx3jimz1U1KgrWXeK8GfKRUncPDjR6T+ET5ZVs/5QAXuyTOSZqli+NwdTpbpQ3P2Xd2PWyB6yArXwKCfLqpny0RZ2HCuud//QLuFMG96Fy3pGt51h4/JC2PMl7Pqfun1ITe3Gtv6RcOFUdY2jDoNkAchakhA5mCREoiUO55cyf9Uhlu7Opqx2i48QP29uG9qRyRclObRCU1Ft4budWXy1/Tib0k+csWNAr9gg/nbVeQzvEeWw1xSiLbFaFb7dkcU7aw5x5ES5/Y8VgKv6xfLqLQPw8WpjQ09WC2Rugh8ehvx9dffHJqsVoy4jNAvNXUhC5GCSEInWKK828+X247y/7jAZJ9S/5ny89NxxcWemj+hKiF/Lp9RW1lj4Ni2Ll5fvJ9dUNzOlZ0wQF3YOJzbEl65RgVzZO8ZtepmEcAfHiypYsD6dhRuOUG2xktIlgldu6U9ciJ/WoTWfuVrtNTq4HA6ugOpS9f5uI2HkPyG2r7bxaUgSIgeThEg4gsWqsHxvLv9ee4jfMosAMBr0dI0OpEOoL6AjPMCbXrHBRAb5cHr6YrEqHM4v5WB+KdVmhbIqM9szT1JltgLQIdSPW4d05LoB8SSEyeKKQjTFhoMFTPs4ldIqMzodXNw1kvtGdHXrpTPOqawA1r4IW9+v3VNNBwNuhcv+BiGeN4lCEiIHk4RIOJKiKKz8PY/nl/7OH7mlrT5fbLAvdw/rzG1DO8laQkK0wO7jxTz1/V62pBfa7xvWPZLh3aPo2yGEC5LC8HLXNYzO5sQhWPm0OnUfwMsXhj+qbhfiQQs9SkLkYJIQCWdQFIVjJyvYl23iRFk1igI5pkp+zzZhqqw543gdOhLD/egRE0SAjxcGvY4BiaF0jw5sOw2hQrixo4XlvLfuMIs3Z2K21v1qjAry4YaBHZiU0qntVV+PbYNlj0PmBvXr6D5w7ZuQMEjbuFxEEiIHk4RICCE8R3pBGd/tyGJftolNh09wslz9A8Wg13HdgHievLZP29oAWVHUHqOlc6CiUF3kcci9cMUT4N2+l9+QhMjBJCESQgjPVG22smp/Hv/ZmMH6gycA6BIVwPuTBtMlKlDj6JqprAB+/puaHAEkXAC3fAJBsdrG5USSEDmYJERCCCFSj5xk5uLt9n0LP5xyAYOT2uBiiH8sgy+nQmURBMXB1a9BzzFaR+UUzfn93ca6xIQQQghtDOoUxjczL2Zgx1BMlWYmvr+ZFftytQ6r+XqMgqkrIbInlGTDp7fA/+5WtwrxYG6dEM2bN48LLriAoKAgoqOjuf7669m/f3+9Y0aMGIFOp6t3uffee+sdk5mZybhx4/D39yc6OppHH30Us9nsyrcihBCiHYgO8mXx3UO5vFc0VWYrU/+zjffXHabNDbZEdIVpq+GiB9Seol1fwGcTPTopcuuEaM2aNcyYMYNNmzaxfPlyampqGDVqFGVlZfWOmzp1KtnZ2fbLCy+8YH/MYrEwbtw4qqur2bBhAwsXLmTBggXMnTvX1W9HCCFEO+BnNPDv2wdx8+AErAo888M+Hv5iB+XVbewPbaO/uqL1pG/A2x8O/uLRSVGb6iHKz88nOjqaNWvWMHz4cECtEA0YMIDXXnutwef89NNPXH311WRlZRETEwPAO++8w2OPPUZ+fj5Go7HR15UeIiGEEKdTFIWP1mfwzA97sSpqs/VbE86nd3wb/D2Rvg4W36zujdbtSrXZuh3MQGu3PUTFxerGfOHh9ZvYFi1aRGRkJH379mXOnDmUl5fbH9u4cSP9+vWzJ0MAo0ePxmQysWfPngZfp6qqCpPJVO8ihBBCnEqn03HnJZ1ZPHUoscG+HM4v48a31/PdjiytQ2u+zsPg1s9rK0XL4fPb1S1BPEibSYisVisPPfQQF198MX371u3Lcuutt/LJJ5+watUq5syZw8cff8xtt91mfzwnJ6deMgTYv87JyWnwtebNm0dISIj9kpiY6IR3JIQQoj0Y2iWCnx4cxoieUVTWWLn/09/4v9UHtQ6r+WxJkZcfHFgG39wHVqvWUblMm0mIZsyYwe7du1myZEm9+6dNm8bo0aPp168fEydO5D//+Q9fffUVhw4davFrzZkzh+LiYvvl6NGjrQ1fCCFEOxYWYOSDyRdwz6VdAHhh6X6W7Wn4j2631nkY3PIx6L3URusfZnlMpahNJEQzZ87k+++/Z9WqVSQknHtzuiFDhgBw8KCancfGxpKbW39apO3r2NiGF6Py8fEhODi43kUIIYQ4F4Nex5yx53HnxZ0BePjzHRzOb/1+hS7X/Uq4/m31duoC+HAUFB7WNCRXcOuESFEUZs6cyVdffcXKlSvp3Llzo89JS0sDIC4uDoCUlBR27dpFXl6e/Zjly5cTHBxM7969nRK3EEIIzzXnql5cmBROSZWZyR9tIauoQuuQmi/5Zhi/GHxDIes3+HAsFB/XOiqncuuEaMaMGXzyyScsXryYoKAgcnJyyMnJoaJC/c916NAhnn76aVJTU8nIyODbb79l0qRJDB8+nOTkZABGjRpF7969uf3229mxYwc///wz//jHP5gxYwY+Pj5avj0hhBDtkLdBz1sTB9Ix3J+jhRWMf3cTx9tiUtRrHExfD1G9oDQHPh0P1WWNP6+Ncutp92fbwfujjz5iypQpHD16lNtuu43du3dTVlZGYmIiN9xwA//4xz/qDXMdOXKE6dOns3r1agICApg8eTLPPfccXl5eTYpDpt0LIYRorqwiNRnKLCwnzN+bF//Un5G9Yxp/ors5mQHvXQHlBRDdGy5+CPreCAb33+BW9jJzMEmIhBBCtERWUQXTPt7G7uPq8i1PXtObKRc33v7hdjI3w6I/QVXtMjTBCTB0OlxwF3j7aRvbObTbdYiEEEKItiQ+1I//Tb+IKRclAfCvH/exJ6tY26BaouMQeHAHXP44BESD6Rgs+zv85zqoKtE6OoeQhEgIIYRwIh8vA09c05tRvWOosSg8uCSNimqL1mE1n384DH8EHtoF17wBviFwdDN8clO7SIokIRJCCCGcTKfT8dxNyUQH+XAwr5R5P+3TOqSW8/aFQZPVPdBsSdHCa6CsQOvIWkUSIiGEEMIFwgOMvPTn/gD8Z+MRVv2e18gz3Fz8QDUp8guvnZo/GoqPaR1Vi0lCJIQQQrjI8B5R3HFxEgCP/ncHeaY2vrN8/EC4axmEJMKJg7D4ljY7fCYJkRBCCOFCj43pRc+YIApKq7n53xs5Wlje+JPcWWR3uOMntdk6dzf8726wtr0eKUmIhBBCCBfy9Tbw79sH0SHUj4wT5dz49oa2ucXHqUITYcKn4OULfyyFjW9pHVGzSUIkhBBCuFhSZABf3ncRvWKDyC+p4s4FWzlZ1sY3UU0YDFe9qN5e/Vyb6yeShEgIIYTQQEywLx/fNcReKZq+KJVqs1XrsFpnwG3QMQVqymHpX7WOplkkIRJCCCE0EhXkw4dTLiDQx4tNhwt5c+UBrUNqHb0exr0MOgPs+w4Or9Y6oiaThEgIIYTQUM/YIJ6/Sd2QfP6qg/yWeVLjiFoppg9ccLd6e+1L2sbSDJIQCSGEEBoblxzH9QPisSrw8Oc7KK0yax1S61z8AOi9IWOdug9aGyAJkRBCCOEG/nltX2KDfTlcUMY9H2+jytz2pq7bhSRA//Hq7V9f0TaWJpKESAghhHADIf7evDtpEAFGA+sPnmDWZ2lYrIrWYbXcJbNAp1en4efu0TqaRklCJIQQQriJ5IRQ/n37YLwNOn7clcPcb3ajKG00KYroCr3GqbdTF2obSxNIQiSEEEK4kUu6R/LaLQPR6WDR5kxe/aUNzzwbNEW93rkEaio0DaUxkhAJIYQQbmZcchxPXdcXgDdWHOCLbUc1jqiFulym7nNWWQz7vtc6mnOShEgIIYRwQ7cP7cTMy7oB8LevdrH58AmNI2oBvQEG3q7e3u7ew2aSEAkhhBBuavaVPRjXL44ai8I9n6SSUVCmdUjNN3AioFOn4Bcc1Dqas5KESAghhHBTer2Ol/7cn/4JIRSV13Dnwq0Ul9doHVbzhCRA91Hq7W0faBvLOUhCJIQQQrgxP6OB9yYNJi7El8P5Zcz8dDvWtjYd/8Jp6vVvi6CqVNtYzkISIiGEEMLNRQf78sHkC/DzNrDuQAELN2ZoHVLzdL0cwrtAVTHs+lzraBokCZEQQgjRBvSOD+ZvV/UC4LmffudgnntWWhqk18MFU9Xbm98FN1xbSRIiIYQQoo24bWgnhnWPpMps5Z6Pt5F5olzrkJpuwK3g5Qf5+yBnl9bRnEESIiGEEKKN0Ol0vPCnZKKDfDiUX8a1839tO9Px/UKhy6Xq7UMrNA2lIZIQCSGEEG1IXIgf3868xD7z7I4FW0k7WqR1WE3TbaR6fVASIiGEEEK0UmyIL5/dk8Kw7pGUV1u446MtHMwr0TqsxnW7Qr3O3AiVJm1jOY0kREIIIUQb5Ott4J3bBtE/MZST5TXc9PZG1h8s0Dqscwvvol6sZkhfq3U09UhCJIQQQrRRAT5efDTlAgYkhlJcUcOkD7ewcEMGihvO4rKzD5v9om0cp5GESAghhGjDwgOMLJk2lBsHdsBiVXji2z387atdVJutWofWsG5XqtcHf3Gr6feSEAkhhBBtnK+3gZdv7s/frzoPvQ4+3XKUOxZsobTKrHVoZ0q6RJ1+X3wUsn7TOho7SYiEEEKIdkCn0zF1eBc+mHIBAUYD6w+eYMK7mzhRWqV1aPUZ/aHXOPX2jiXaxnIKSYiEEEKIduSyntF8Om0o4QFGdh0v5tb3NrtfUtR/vHq9+79gcY/Naj0qIZo/fz5JSUn4+voyZMgQtmzZonVIQgghhMMlJ4Tyxb0pRAf5sD+3hFvf20yuqVLrsOp0uQwCoqH8hNs0V3tMQvTZZ58xe/ZsnnjiCbZv307//v0ZPXo0eXl5WocmhBBCOFzXqEA+nTbUnhSNeW0tK/blah2WyuAFyTert7d/7BbN1R6TEL3yyitMnTqVO+64g969e/POO+/g7+/Phx9+qHVoQgghhFN0jQrk83tS6B0XzMnyGu5auI17P07lcL4bbAxrGzbb/wN8chOcPKJpOB6REFVXV5OamsrIkSPt9+n1ekaOHMnGjRvPOL6qqgqTyVTvIoQQQrRFSZEBfDXjIu68uDN6HSzdk8OVr67l821HtQ0sth+MfhYMPureZv+XAiU5moXjEQlRQUEBFouFmJiYevfHxMSQk3Pmhz9v3jxCQkLsl8TERFeFKoQQQjicj5eBudf0ZulDw7miVzQ64MKkcK3DgpQZMH0DdLoE+t4AQbGaheKl2Su7sTlz5jB79mz71yaTSZIiIYQQbV6PmCA+mHIBR06U0SkiQOtwVJHdYPJ3YNF2JpxHJESRkZEYDAZyc+s3k+Xm5hIbe2Y26uPjg4+Pj6vCE0IIIVzKbZIhG70e9H7ahqDpq7uI0Whk0KBBrFixwn6f1WplxYoVpKSkaBiZEEIIIdyBR1SIAGbPns3kyZMZPHgwF154Ia+99hplZWXccccdWocmhBBCCI15TEJ0yy23kJ+fz9y5c8nJyWHAgAEsXbr0jEZrIYQQQngenaK4wWpIbs5kMhESEkJxcTHBwcFahyOEEEKIJmjO72+P6CESQgghhDgXSYiEEEII4fEkIRJCCCGEx5OESAghhBAeTxIiIYQQQng8SYiEEEII4fEkIRJCCCGEx5OESAghhBAeTxIiIYQQQng8j9m6ozVsi3mbTCaNIxFCCCFEU9l+bzdlUw5JiJqgpKQEgMTERI0jEUIIIURzlZSUEBIScs5jZC+zJrBarWRlZREUFIROp3PouU0mE4mJiRw9elT2SdOAfP7ak38Dbcnnry35/J1LURRKSkqIj49Hrz93l5BUiJpAr9eTkJDg1NcIDg6WbwYNyeevPfk30JZ8/tqSz995GqsM2UhTtRBCCCE8niREQgghhPB4khBpzMfHhyeeeAIfHx+tQ/FI8vlrT/4NtCWfv7bk83cf0lQthBBCCI8nFSIhhBBCeDxJiIQQQgjh8SQhEkIIIYTHk4RICCGEEB5PEiINzZ8/n6SkJHx9fRkyZAhbtmzROqR268knn0Sn09W79OrVy/54ZWUlM2bMICIigsDAQG666SZyc3M1jLhtW7t2Lddccw3x8fHodDq+/vrreo8risLcuXOJi4vDz8+PkSNHcuDAgXrHFBYWMnHiRIKDgwkNDeWuu+6itLTUhe+i7Wrs858yZcoZ3w9jxoypd4x8/i03b948LrjgAoKCgoiOjub6669n//799Y5pys+czMxMxo0bh7+/P9HR0Tz66KOYzWZXvhWPIgmRRj777DNmz57NE088wfbt2+nfvz+jR48mLy9P69DarT59+pCdnW2//Prrr/bHZs2axXfffccXX3zBmjVryMrK4sYbb9Qw2ratrKyM/v37M3/+/AYff+GFF3jjjTd455132Lx5MwEBAYwePZrKykr7MRMnTmTPnj0sX76c77//nrVr1zJt2jRXvYU2rbHPH2DMmDH1vh8+/fTTeo/L599ya9asYcaMGWzatInly5dTU1PDqFGjKCsrsx/T2M8ci8XCuHHjqK6uZsOGDSxcuJAFCxYwd+5cLd6SZ1CEJi688EJlxowZ9q8tFosSHx+vzJs3T8Oo2q8nnnhC6d+/f4OPFRUVKd7e3soXX3xhv2/fvn0KoGzcuNFFEbZfgPLVV1/Zv7ZarUpsbKzy4osv2u8rKipSfHx8lE8//VRRFEXZu3evAihbt261H/PTTz8pOp1OOX78uMtibw9O//wVRVEmT56sXHfddWd9jnz+jpWXl6cAypo1axRFadrPnB9//FHR6/VKTk6O/Zi3335bCQ4OVqqqqlz7BjyEVIg0UF1dTWpqKiNHjrTfp9frGTlyJBs3btQwsvbtwIEDxMfH06VLFyZOnEhmZiYAqamp1NTU1Pv36NWrFx07dpR/DydIT08nJyen3ucdEhLCkCFD7J/3xo0bCQ0NZfDgwfZjRo4ciV6vZ/PmzS6PuT1avXo10dHR9OzZk+nTp3PixAn7Y/L5O1ZxcTEA4eHhQNN+5mzcuJF+/foRExNjP2b06NGYTCb27Nnjwug9hyREGigoKMBisdT7jw4QExNDTk6ORlG1b0OGDGHBggUsXbqUt99+m/T0dIYNG0ZJSQk5OTkYjUZCQ0PrPUf+PZzD9pme6/9/Tk4O0dHR9R738vIiPDxc/k0cYMyYMfznP/9hxYoVPP/886xZs4axY8disVgA+fwdyWq18tBDD3HxxRfTt29fgCb9zMnJyWnwe8T2mHA82e1eeISxY8fabycnJzNkyBA6derE559/jp+fn4aRCeF648ePt9/u168fycnJdO3aldWrV3PFFVdoGFn7M2PGDHbv3l2vZ1G4J6kQaSAyMhKDwXDGjILc3FxiY2M1isqzhIaG0qNHDw4ePEhsbCzV1dUUFRXVO0b+PZzD9pme6/9/bGzsGRMMzGYzhYWF8m/iBF26dCEyMpKDBw8C8vk7ysyZM/n+++9ZtWoVCQkJ9vub8jMnNja2we8R22PC8SQh0oDRaGTQoEGsWLHCfp/VamXFihWkpKRoGJnnKC0t5dChQ8TFxTFo0CC8vb3r/Xvs37+fzMxM+fdwgs6dOxMbG1vv8zaZTGzevNn+eaekpFBUVERqaqr9mJUrV2K1WhkyZIjLY27vjh07xokTJ4iLiwPk828tRVGYOXMmX331FStXrqRz5871Hm/Kz5yUlBR27dpVLzFdvnw5wcHB9O7d2zVvxNNo3dXtqZYsWaL4+PgoCxYsUPbu3atMmzZNCQ0NrTejQDjOww8/rKxevVpJT09X1q9fr4wcOVKJjIxU8vLyFEVRlHvvvVfp2LGjsnLlSmXbtm1KSkqKkpKSonHUbVdJSYny22+/Kb/99psCKK+88ory22+/KUeOHFEURVGee+45JTQ0VPnmm2+UnTt3Ktddd53SuXNnpaKiwn6OMWPGKAMHDlQ2b96s/Prrr0r37t2VCRMmaPWW2pRzff4lJSXKI488omzcuFFJT09XfvnlF+X8889XunfvrlRWVtrPIZ9/y02fPl0JCQlRVq9erWRnZ9sv5eXl9mMa+5ljNpuVvn37KqNGjVLS0tKUpUuXKlFRUcqcOXO0eEseQRIiDb355ptKx44dFaPRqFx44YXKpk2btA6p3brllluUuLg4xWg0Kh06dFBuueUW5eDBg/bHKyoqlPvuu08JCwtT/P39lRtuuEHJzs7WMOK2bdWqVQpwxmXy5MmKoqhT7x9//HElJiZG8fHxUa644gpl//799c5x4sQJZcKECUpgYKASHBys3HHHHUpJSYkG76btOdfnX15erowaNUqJiopSvL29lU6dOilTp049448x+fxbrqHPHlA++ugj+zFN+ZmTkZGhjB07VvHz81MiIyOVhx9+WKmpqXHxu/EcOkVRFFdXpYQQQggh3In0EAkhhBDC40lCJIQQQgiPJwmREEIIITyeJERCCCGE8HiSEAkhhBDC40lCJIQQQgiPJwmREEIIITyeJERCCCGE8HiSEAkhhBDC40lCJIQQLjJlyhSuv/56rcMQQjRAEiIhhBBCeDxJiIQQbmPEiBHMnDmTmTNnEhISQmRkJI8//ji2LRerqqp47LHHSExMxMfHh27duvHBBx806dx79uzh6quvJjg4mKCgIIYNG8ahQ4cAsFqtPPXUUyQkJODj48OAAQNYunSp/bmrV69Gp9NRVFRkvy8tLQ2dTkdGRgYACxYsIDQ0lJ9//pnzzjuPwMBAxowZQ3Z2NgBPPvkkCxcu5JtvvkGn06HT6Vi9enXrPzQhhENIQiSEcCsLFy7Ey8uLLVu28Prrr/PKK6/w/vvvAzBp0iQ+/fRT3njjDfbt28e///1vAgMDGz3n8ePHGT58OD4+PqxcuZLU1FTuvPNOzGYzAK+//jovv/wyL730Ejt37mT06NFce+21HDhwoFmxl5eX89JLL/Hxxx+zdu1aMjMzeeSRRwB45JFHuPnmm+1JUnZ2NhdddFEzPx0hhLN4aR2AEEKcKjExkVdffRWdTkfPnj3ZtWsXr776Kpdeeimff/45y5cvZ+TIkQB06dKlSeecP38+ISEhLFmyBG9vbwB69Ohhf/yll17iscceY/z48QA8//zzrFq1itdee4358+c3OfaamhreeecdunbtCsDMmTN56qmnAAgMDMTPz4+qqipiY2ObfE4hhGtIhUgI4VaGDh2KTqezf52SksKBAwf47bffMBgMXHrppc0+Z1paGsOGDbMnQ6cymUxkZWVx8cUX17v/4osvZt++fc16HX9/f3syBBAXF0deXl6z4xVCuJ4kREKINsHX17fFz/Xz82vVa+v16o9KWy8TqNWg052ecOl0unrPEUK4L0mIhBBuZfPmzfW+3rRpE927d6d///5YrVbWrFnT7HMmJyezbt26BpOY4OBg4uPjWb9+fb37169fT+/evQGIiooCsDdIg1p1ai6j0YjFYmn284QQzicJkRDCrWRmZjJ79mz279/Pp59+yptvvsmDDz5IUlISkydP5s477+Trr78mPT2d1atX8/nnnzd6zpkzZ2IymRg/fjzbtm3jwIEDfPzxx+zfvx+ARx99lOeff57PPvuM/fv389e//pW0tDQefPBBALp160ZiYiJPPvkkBw4c4IcffuDll19u9ntLSkpi586d7N+/n4KCggYTNCGENiQhEkK4lUmTJlFRUcGFF17IjBkzePDBB5k2bRoAb7/9Nn/605+477776NWrF1OnTqWsrKzRc0ZERLBy5UpKS0u59NJLGTRoEO+99559iOuBBx5g9uzZPPzww/Tr14+lS5fy7bff0r17d0AdCvv000/5/fffSU5O5vnnn+eZZ55p9nubOnUqPXv2ZPDgwURFRZ1RlRJCaEenyAC3EMJNjBgxggEDBvDaa69pHYoQwsNIhUgIIYQQHk8SIiFEm3fvvfcSGBjY4OXee+/VOjwhRBsgQ2ZCiDYvLy8Pk8nU4GPBwcFER0e7OCIhRFsjCZEQQgghPJ4MmQkhhBDC40lCJIQQQgiPJwmREEIIITyeJERCCCGE8HiSEAkhhBDC40lCJIQQQgiPJwmREEIIITze/wNkZvH+4/ZR9gAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pc_count=np.load('pc_count_2.npy')\n",
    "pc_count1=np.load('pc_count_3.npy')\n",
    "\n",
    "plt.plot(pc_count)\n",
    "plt.plot(pc_count1)\n",
    "plt.ylabel('time')\n",
    "plt.xlabel('pc_count')\n",
    "plt.ylabel('pc_count')\n",
    "plt.legend(['active','naive'])"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
